Finding the Third Proportional to 85,352 and 114,200

Step by Step Solution

1. Step 1: Write the proportion equation
   85,352 : 114,200 = 114,200 : x
2. Step 2: Convert to fraction form
   85,352/114,200 = 114,200/x
3. Step 3: Cross multiply
   85,352x = 114,200 × 114,200
4. Step 4: Simplify right side
   85,352x = 13,041,640,000
5. Step 5: Solve for x
   x = 13,041,640,000/85,352
6. Step 6: Final answer
   x = 152,798.29