Finding the Third Proportional to 69,796 and 152,552

Step by Step Solution

1. Step 1: Write the proportion equation
   69,796 : 152,552 = 152,552 : x
2. Step 2: Convert to fraction form
   69,796/152,552 = 152,552/x
3. Step 3: Cross multiply
   69,796x = 152,552 × 152,552
4. Step 4: Simplify right side
   69,796x = 23,272,112,704
5. Step 5: Solve for x
   x = 23,272,112,704/69,796
6. Step 6: Final answer
   x = 333,430.46