Finding the Third Proportional to 77,200.50 and 119,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,200.50 : 119,644.50 = 119,644.50 : x
2. Step 2: Convert to fraction form
   77,200.50/119,644.50 = 119,644.50/x
3. Step 3: Cross multiply
   77,200.50x = 119,644.50 × 119,644.50
4. Step 4: Simplify right side
   77,200.50x = 14,314,806,380.25
5. Step 5: Solve for x
   x = 14,314,806,380.25/77,200.50
6. Step 6: Final answer
   x = 185,423.75