Finding the Third Proportional to 85,402,947,051 and 177,874,644,123

Step by Step Solution

1. Step 1: Write the proportion equation
   85,402,947,051 : 177,874,644,123 = 177,874,644,123 : x
2. Step 2: Convert to fraction form
   85,402,947,051/177,874,644,123 = 177,874,644,123/x
3. Step 3: Cross multiply
   85,402,947,051x = 177,874,644,123 × 177,874,644,123
4. Step 4: Simplify right side
   85,402,947,051x = 31,639,389,021,883,896,692,736
5. Step 5: Solve for x
   x = 31,639,389,021,883,896,692,736/85,402,947,051
6. Step 6: Final answer
   x = 370,471,864,430.98