Finding the Third Proportional to 113,863.50 and 164,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,863.50 : 164,002.50 = 164,002.50 : x
2. Step 2: Convert to fraction form
   113,863.50/164,002.50 = 164,002.50/x
3. Step 3: Cross multiply
   113,863.50x = 164,002.50 × 164,002.50
4. Step 4: Simplify right side
   113,863.50x = 26,896,820,006.25
5. Step 5: Solve for x
   x = 26,896,820,006.25/113,863.50
6. Step 6: Final answer
   x = 236,219.86