Finding the Third Proportional to 100,932 and 146,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,932 : 146,699.50 = 146,699.50 : x
2. Step 2: Convert to fraction form
   100,932/146,699.50 = 146,699.50/x
3. Step 3: Cross multiply
   100,932x = 146,699.50 × 146,699.50
4. Step 4: Simplify right side
   100,932x = 21,520,743,300.25
5. Step 5: Solve for x
   x = 21,520,743,300.25/100,932
6. Step 6: Final answer
   x = 213,220.22