Finding the Third Proportional to 92,155.50 and 123,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,155.50 : 123,837.50 = 123,837.50 : x
2. Step 2: Convert to fraction form
   92,155.50/123,837.50 = 123,837.50/x
3. Step 3: Cross multiply
   92,155.50x = 123,837.50 × 123,837.50
4. Step 4: Simplify right side
   92,155.50x = 15,335,726,406.25
5. Step 5: Solve for x
   x = 15,335,726,406.25/92,155.50
6. Step 6: Final answer
   x = 166,411.41