Finding the Third Proportional to 91,734.50 and 140,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,734.50 : 140,336.50 = 140,336.50 : x
2. Step 2: Convert to fraction form
   91,734.50/140,336.50 = 140,336.50/x
3. Step 3: Cross multiply
   91,734.50x = 140,336.50 × 140,336.50
4. Step 4: Simplify right side
   91,734.50x = 19,694,333,232.25
5. Step 5: Solve for x
   x = 19,694,333,232.25/91,734.50
6. Step 6: Final answer
   x = 214,688.40