Finding the Third Proportional to 102,459.94 and 152,636.91

Step by Step Solution

1. Step 1: Write the proportion equation
   102,459.94 : 152,636.91 = 152,636.91 : x
2. Step 2: Convert to fraction form
   102,459.94/152,636.91 = 152,636.91/x
3. Step 3: Cross multiply
   102,459.94x = 152,636.91 × 152,636.91
4. Step 4: Simplify right side
   102,459.94x = 23,298,025,149.57
5. Step 5: Solve for x
   x = 23,298,025,149.57/102,459.94
6. Step 6: Final answer
   x = 227,386.68