Finding the Third Proportional to 99,522 and 146,346

Step by Step Solution

1. Step 1: Write the proportion equation
   99,522 : 146,346 = 146,346 : x
2. Step 2: Convert to fraction form
   99,522/146,346 = 146,346/x
3. Step 3: Cross multiply
   99,522x = 146,346 × 146,346
4. Step 4: Simplify right side
   99,522x = 21,417,151,716
5. Step 5: Solve for x
   x = 21,417,151,716/99,522
6. Step 6: Final answer
   x = 215,200.17