Finding the Third Proportional to 52,314 and 78,588

Step by Step Solution

1. Step 1: Write the proportion equation
   52,314 : 78,588 = 78,588 : x
2. Step 2: Convert to fraction form
   52,314/78,588 = 78,588/x
3. Step 3: Cross multiply
   52,314x = 78,588 × 78,588
4. Step 4: Simplify right side
   52,314x = 6,176,073,744
5. Step 5: Solve for x
   x = 6,176,073,744/52,314
6. Step 6: Final answer
   x = 118,057.76