Finding the Third Proportional to 53,680 and 80,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,680 : 80,522.50 = 80,522.50 : x
2. Step 2: Convert to fraction form
   53,680/80,522.50 = 80,522.50/x
3. Step 3: Cross multiply
   53,680x = 80,522.50 × 80,522.50
4. Step 4: Simplify right side
   53,680x = 6,483,873,006.25
5. Step 5: Solve for x
   x = 6,483,873,006.25/53,680
6. Step 6: Final answer
   x = 120,787.50