Finding the Third Proportional to 116,705.25 and 185,263.88

Step by Step Solution

1. Step 1: Write the proportion equation
   116,705.25 : 185,263.88 = 185,263.88 : x
2. Step 2: Convert to fraction form
   116,705.25/185,263.88 = 185,263.88/x
3. Step 3: Cross multiply
   116,705.25x = 185,263.88 × 185,263.88
4. Step 4: Simplify right side
   116,705.25x = 34,322,703,380.02
5. Step 5: Solve for x
   x = 34,322,703,380.02/116,705.25
6. Step 6: Final answer
   x = 294,097.34