Finding the Third Proportional to 509,338.50 and 1,107,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,338.50 : 1,107,127.50 = 1,107,127.50 : x
2. Step 2: Convert to fraction form
   509,338.50/1,107,127.50 = 1,107,127.50/x
3. Step 3: Cross multiply
   509,338.50x = 1,107,127.50 × 1,107,127.50
4. Step 4: Simplify right side
   509,338.50x = 1,225,731,301,256.25
5. Step 5: Solve for x
   x = 1,225,731,301,256.25/509,338.50
6. Step 6: Final answer
   x = 2,406,516.10