Finding the Third Proportional to 337,138 and 767,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   337,138 : 767,810.50 = 767,810.50 : x
2. Step 2: Convert to fraction form
   337,138/767,810.50 = 767,810.50/x
3. Step 3: Cross multiply
   337,138x = 767,810.50 × 767,810.50
4. Step 4: Simplify right side
   337,138x = 589,532,963,910.25
5. Step 5: Solve for x
   x = 589,532,963,910.25/337,138
6. Step 6: Final answer
   x = 1,748,639.92