Finding the Third Proportional to 42,546 and 90,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,546 : 90,472.50 = 90,472.50 : x
2. Step 2: Convert to fraction form
   42,546/90,472.50 = 90,472.50/x
3. Step 3: Cross multiply
   42,546x = 90,472.50 × 90,472.50
4. Step 4: Simplify right side
   42,546x = 8,185,273,256.25
5. Step 5: Solve for x
   x = 8,185,273,256.25/42,546
6. Step 6: Final answer
   x = 192,386.43