Finding the Third Proportional to 42,152 and 85,516

Step by Step Solution

1. Step 1: Write the proportion equation
   42,152 : 85,516 = 85,516 : x
2. Step 2: Convert to fraction form
   42,152/85,516 = 85,516/x
3. Step 3: Cross multiply
   42,152x = 85,516 × 85,516
4. Step 4: Simplify right side
   42,152x = 7,312,986,256
5. Step 5: Solve for x
   x = 7,312,986,256/42,152
6. Step 6: Final answer
   x = 173,490.85