Finding the Third Proportional to 52,714 and 77,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,714 : 77,207.50 = 77,207.50 : x
2. Step 2: Convert to fraction form
   52,714/77,207.50 = 77,207.50/x
3. Step 3: Cross multiply
   52,714x = 77,207.50 × 77,207.50
4. Step 4: Simplify right side
   52,714x = 5,960,998,056.25
5. Step 5: Solve for x
   x = 5,960,998,056.25/52,714
6. Step 6: Final answer
   x = 113,081.88