Finding the Third Proportional to 51,129 and 109,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,129 : 109,543.50 = 109,543.50 : x
2. Step 2: Convert to fraction form
   51,129/109,543.50 = 109,543.50/x
3. Step 3: Cross multiply
   51,129x = 109,543.50 × 109,543.50
4. Step 4: Simplify right side
   51,129x = 11,999,778,392.25
5. Step 5: Solve for x
   x = 11,999,778,392.25/51,129
6. Step 6: Final answer
   x = 234,696.13