Finding the Third Proportional to 117,848 and 256,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,848 : 256,187.50 = 256,187.50 : x
2. Step 2: Convert to fraction form
   117,848/256,187.50 = 256,187.50/x
3. Step 3: Cross multiply
   117,848x = 256,187.50 × 256,187.50
4. Step 4: Simplify right side
   117,848x = 65,632,035,156.25
5. Step 5: Solve for x
   x = 65,632,035,156.25/117,848
6. Step 6: Final answer
   x = 556,921.08