Finding the Third Proportional to 35,522 and 78,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,522 : 78,454.50 = 78,454.50 : x
2. Step 2: Convert to fraction form
   35,522/78,454.50 = 78,454.50/x
3. Step 3: Cross multiply
   35,522x = 78,454.50 × 78,454.50
4. Step 4: Simplify right side
   35,522x = 6,155,108,570.25
5. Step 5: Solve for x
   x = 6,155,108,570.25/35,522
6. Step 6: Final answer
   x = 173,275.96