Finding the Third Proportional to 52,113 and 106,066

Step by Step Solution

1. Step 1: Write the proportion equation
   52,113 : 106,066 = 106,066 : x
2. Step 2: Convert to fraction form
   52,113/106,066 = 106,066/x
3. Step 3: Cross multiply
   52,113x = 106,066 × 106,066
4. Step 4: Simplify right side
   52,113x = 11,249,996,356
5. Step 5: Solve for x
   x = 11,249,996,356/52,113
6. Step 6: Final answer
   x = 215,876.97