Finding the Third Proportional to 52,283.50 and 78,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,283.50 : 78,915.50 = 78,915.50 : x
2. Step 2: Convert to fraction form
   52,283.50/78,915.50 = 78,915.50/x
3. Step 3: Cross multiply
   52,283.50x = 78,915.50 × 78,915.50
4. Step 4: Simplify right side
   52,283.50x = 6,227,656,140.25
5. Step 5: Solve for x
   x = 6,227,656,140.25/52,283.50
6. Step 6: Final answer
   x = 119,113.22