Finding the Third Proportional to 53,411.50 and 116,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,411.50 : 116,748.50 = 116,748.50 : x
2. Step 2: Convert to fraction form
   53,411.50/116,748.50 = 116,748.50/x
3. Step 3: Cross multiply
   53,411.50x = 116,748.50 × 116,748.50
4. Step 4: Simplify right side
   53,411.50x = 13,630,212,252.25
5. Step 5: Solve for x
   x = 13,630,212,252.25/53,411.50
6. Step 6: Final answer
   x = 255,192.46