Finding the Third Proportional to 135,126 and 312,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,126 : 312,780.50 = 312,780.50 : x
2. Step 2: Convert to fraction form
   135,126/312,780.50 = 312,780.50/x
3. Step 3: Cross multiply
   135,126x = 312,780.50 × 312,780.50
4. Step 4: Simplify right side
   135,126x = 97,831,641,180.25
5. Step 5: Solve for x
   x = 97,831,641,180.25/135,126
6. Step 6: Final answer
   x = 724,003.09