Finding the Third Proportional to 77,280 and 169,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,280 : 169,504.50 = 169,504.50 : x
2. Step 2: Convert to fraction form
   77,280/169,504.50 = 169,504.50/x
3. Step 3: Cross multiply
   77,280x = 169,504.50 × 169,504.50
4. Step 4: Simplify right side
   77,280x = 28,731,775,520.25
5. Step 5: Solve for x
   x = 28,731,775,520.25/77,280
6. Step 6: Final answer
   x = 371,787.99