Finding the Third Proportional to 77,349 and 123,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,349 : 123,077.50 = 123,077.50 : x
2. Step 2: Convert to fraction form
   77,349/123,077.50 = 123,077.50/x
3. Step 3: Cross multiply
   77,349x = 123,077.50 × 123,077.50
4. Step 4: Simplify right side
   77,349x = 15,148,071,006.25
5. Step 5: Solve for x
   x = 15,148,071,006.25/77,349
6. Step 6: Final answer
   x = 195,840.55