Finding the Third Proportional to 99,501 and 146,295

Step by Step Solution

1. Step 1: Write the proportion equation
   99,501 : 146,295 = 146,295 : x
2. Step 2: Convert to fraction form
   99,501/146,295 = 146,295/x
3. Step 3: Cross multiply
   99,501x = 146,295 × 146,295
4. Step 4: Simplify right side
   99,501x = 21,402,227,025
5. Step 5: Solve for x
   x = 21,402,227,025/99,501
6. Step 6: Final answer
   x = 215,095.60