Finding the Third Proportional to 53,460 and 116,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,460 : 116,026.50 = 116,026.50 : x
2. Step 2: Convert to fraction form
   53,460/116,026.50 = 116,026.50/x
3. Step 3: Cross multiply
   53,460x = 116,026.50 × 116,026.50
4. Step 4: Simplify right side
   53,460x = 13,462,148,702.25
5. Step 5: Solve for x
   x = 13,462,148,702.25/53,460
6. Step 6: Final answer
   x = 251,817.22