Finding the Third Proportional to 91,699.50 and 140,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,699.50 : 140,272.50 = 140,272.50 : x
2. Step 2: Convert to fraction form
   91,699.50/140,272.50 = 140,272.50/x
3. Step 3: Cross multiply
   91,699.50x = 140,272.50 × 140,272.50
4. Step 4: Simplify right side
   91,699.50x = 19,676,374,256.25
5. Step 5: Solve for x
   x = 19,676,374,256.25/91,699.50
6. Step 6: Final answer
   x = 214,574.50