Finding the Third Proportional to 53,385 and 113,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,385 : 113,354.50 = 113,354.50 : x
2. Step 2: Convert to fraction form
   53,385/113,354.50 = 113,354.50/x
3. Step 3: Cross multiply
   53,385x = 113,354.50 × 113,354.50
4. Step 4: Simplify right side
   53,385x = 12,849,242,670.25
5. Step 5: Solve for x
   x = 12,849,242,670.25/53,385
6. Step 6: Final answer
   x = 240,690.13