Finding the Third Proportional to 115,875 and 253,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,875 : 253,894.50 = 253,894.50 : x
2. Step 2: Convert to fraction form
   115,875/253,894.50 = 253,894.50/x
3. Step 3: Cross multiply
   115,875x = 253,894.50 × 253,894.50
4. Step 4: Simplify right side
   115,875x = 64,462,417,130.25
5. Step 5: Solve for x
   x = 64,462,417,130.25/115,875
6. Step 6: Final answer
   x = 556,309.96