Finding the Third Proportional to 101,648.25 and 152,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,648.25 : 152,185.50 = 152,185.50 : x
2. Step 2: Convert to fraction form
   101,648.25/152,185.50 = 152,185.50/x
3. Step 3: Cross multiply
   101,648.25x = 152,185.50 × 152,185.50
4. Step 4: Simplify right side
   101,648.25x = 23,160,426,410.25
5. Step 5: Solve for x
   x = 23,160,426,410.25/101,648.25
6. Step 6: Final answer
   x = 227,848.75