Finding the Third Proportional to 101,836.50 and 152,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,836.50 : 152,071.50 = 152,071.50 : x
2. Step 2: Convert to fraction form
   101,836.50/152,071.50 = 152,071.50/x
3. Step 3: Cross multiply
   101,836.50x = 152,071.50 × 152,071.50
4. Step 4: Simplify right side
   101,836.50x = 23,125,741,112.25
5. Step 5: Solve for x
   x = 23,125,741,112.25/101,836.50
6. Step 6: Final answer
   x = 227,086.96