Finding the Third Proportional to 94,197 and 141,506

Step by Step Solution

1. Step 1: Write the proportion equation
   94,197 : 141,506 = 141,506 : x
2. Step 2: Convert to fraction form
   94,197/141,506 = 141,506/x
3. Step 3: Cross multiply
   94,197x = 141,506 × 141,506
4. Step 4: Simplify right side
   94,197x = 20,023,948,036
5. Step 5: Solve for x
   x = 20,023,948,036/94,197
6. Step 6: Final answer
   x = 212,575.22