Finding the Third Proportional to 92,421 and 123,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,421 : 123,565.50 = 123,565.50 : x
2. Step 2: Convert to fraction form
   92,421/123,565.50 = 123,565.50/x
3. Step 3: Cross multiply
   92,421x = 123,565.50 × 123,565.50
4. Step 4: Simplify right side
   92,421x = 15,268,432,790.25
5. Step 5: Solve for x
   x = 15,268,432,790.25/92,421
6. Step 6: Final answer
   x = 165,205.23