Finding the Third Proportional to 85,140 and 113,880

Step by Step Solution

1. Step 1: Write the proportion equation
   85,140 : 113,880 = 113,880 : x
2. Step 2: Convert to fraction form
   85,140/113,880 = 113,880/x
3. Step 3: Cross multiply
   85,140x = 113,880 × 113,880
4. Step 4: Simplify right side
   85,140x = 12,968,654,400
5. Step 5: Solve for x
   x = 12,968,654,400/85,140
6. Step 6: Final answer
   x = 152,321.52