Finding the Third Proportional to 102,332 and 146,910

Step by Step Solution

1. Step 1: Write the proportion equation
   102,332 : 146,910 = 146,910 : x
2. Step 2: Convert to fraction form
   102,332/146,910 = 146,910/x
3. Step 3: Cross multiply
   102,332x = 146,910 × 146,910
4. Step 4: Simplify right side
   102,332x = 21,582,548,100
5. Step 5: Solve for x
   x = 21,582,548,100/102,332
6. Step 6: Final answer
   x = 210,907.13