Finding the Third Proportional to 100,014 and 146,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,014 : 146,071.50 = 146,071.50 : x
2. Step 2: Convert to fraction form
   100,014/146,071.50 = 146,071.50/x
3. Step 3: Cross multiply
   100,014x = 146,071.50 × 146,071.50
4. Step 4: Simplify right side
   100,014x = 21,336,883,112.25
5. Step 5: Solve for x
   x = 21,336,883,112.25/100,014
6. Step 6: Final answer
   x = 213,338.96