Finding the Third Proportional to 187,978.50 and 291,258

Step by Step Solution

1. Step 1: Write the proportion equation
   187,978.50 : 291,258 = 291,258 : x
2. Step 2: Convert to fraction form
   187,978.50/291,258 = 291,258/x
3. Step 3: Cross multiply
   187,978.50x = 291,258 × 291,258
4. Step 4: Simplify right side
   187,978.50x = 84,831,222,564
5. Step 5: Solve for x
   x = 84,831,222,564/187,978.50
6. Step 6: Final answer
   x = 451,281.52