Finding the Third Proportional to 55,323 and 118,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,323 : 118,534.50 = 118,534.50 : x
2. Step 2: Convert to fraction form
   55,323/118,534.50 = 118,534.50/x
3. Step 3: Cross multiply
   55,323x = 118,534.50 × 118,534.50
4. Step 4: Simplify right side
   55,323x = 14,050,427,690.25
5. Step 5: Solve for x
   x = 14,050,427,690.25/55,323
6. Step 6: Final answer
   x = 253,970.82