Finding the Third Proportional to 77,593 and 123,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,593 : 123,973.50 = 123,973.50 : x
2. Step 2: Convert to fraction form
   77,593/123,973.50 = 123,973.50/x
3. Step 3: Cross multiply
   77,593x = 123,973.50 × 123,973.50
4. Step 4: Simplify right side
   77,593x = 15,369,428,702.25
5. Step 5: Solve for x
   x = 15,369,428,702.25/77,593
6. Step 6: Final answer
   x = 198,077.52