Finding the Third Proportional to 100,008 and 146,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,008 : 146,061.50 = 146,061.50 : x
2. Step 2: Convert to fraction form
   100,008/146,061.50 = 146,061.50/x
3. Step 3: Cross multiply
   100,008x = 146,061.50 × 146,061.50
4. Step 4: Simplify right side
   100,008x = 21,333,961,782.25
5. Step 5: Solve for x
   x = 21,333,961,782.25/100,008
6. Step 6: Final answer
   x = 213,322.55