Finding the Third Proportional to 53,466 and 116,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,466 : 116,038.50 = 116,038.50 : x
2. Step 2: Convert to fraction form
   53,466/116,038.50 = 116,038.50/x
3. Step 3: Cross multiply
   53,466x = 116,038.50 × 116,038.50
4. Step 4: Simplify right side
   53,466x = 13,464,933,482.25
5. Step 5: Solve for x
   x = 13,464,933,482.25/53,466
6. Step 6: Final answer
   x = 251,841.05