Finding the Third Proportional to 94,499 and 146,213

Step by Step Solution

1. Step 1: Write the proportion equation
   94,499 : 146,213 = 146,213 : x
2. Step 2: Convert to fraction form
   94,499/146,213 = 146,213/x
3. Step 3: Cross multiply
   94,499x = 146,213 × 146,213
4. Step 4: Simplify right side
   94,499x = 21,378,241,369
5. Step 5: Solve for x
   x = 21,378,241,369/94,499
6. Step 6: Final answer
   x = 226,227.17