Finding the Third Proportional to 55,902 and 118,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,902 : 118,063.50 = 118,063.50 : x
2. Step 2: Convert to fraction form
   55,902/118,063.50 = 118,063.50/x
3. Step 3: Cross multiply
   55,902x = 118,063.50 × 118,063.50
4. Step 4: Simplify right side
   55,902x = 13,938,990,032.25
5. Step 5: Solve for x
   x = 13,938,990,032.25/55,902
6. Step 6: Final answer
   x = 249,346.89