Finding the Third Proportional to 52,525 and 78,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,525 : 78,824.50 = 78,824.50 : x
2. Step 2: Convert to fraction form
   52,525/78,824.50 = 78,824.50/x
3. Step 3: Cross multiply
   52,525x = 78,824.50 × 78,824.50
4. Step 4: Simplify right side
   52,525x = 6,213,301,800.25
5. Step 5: Solve for x
   x = 6,213,301,800.25/52,525
6. Step 6: Final answer
   x = 118,292.28