Finding the Third Proportional to 135,114 and 312,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,114 : 312,796.50 = 312,796.50 : x
2. Step 2: Convert to fraction form
   135,114/312,796.50 = 312,796.50/x
3. Step 3: Cross multiply
   135,114x = 312,796.50 × 312,796.50
4. Step 4: Simplify right side
   135,114x = 97,841,650,412.25
5. Step 5: Solve for x
   x = 97,841,650,412.25/135,114
6. Step 6: Final answer
   x = 724,141.47