Finding the Third Proportional to 375,456 and 777,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,456 : 777,527.50 = 777,527.50 : x
2. Step 2: Convert to fraction form
   375,456/777,527.50 = 777,527.50/x
3. Step 3: Cross multiply
   375,456x = 777,527.50 × 777,527.50
4. Step 4: Simplify right side
   375,456x = 604,549,013,256.25
5. Step 5: Solve for x
   x = 604,549,013,256.25/375,456
6. Step 6: Final answer
   x = 1,610,172.73