Finding the Third Proportional to 77,344 and 123,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,344 : 123,070.50 = 123,070.50 : x
2. Step 2: Convert to fraction form
   77,344/123,070.50 = 123,070.50/x
3. Step 3: Cross multiply
   77,344x = 123,070.50 × 123,070.50
4. Step 4: Simplify right side
   77,344x = 15,146,347,970.25
5. Step 5: Solve for x
   x = 15,146,347,970.25/77,344
6. Step 6: Final answer
   x = 195,830.94