Finding the Third Proportional to 376,596 and 526,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   376,596 : 526,747.50 = 526,747.50 : x
2. Step 2: Convert to fraction form
   376,596/526,747.50 = 526,747.50/x
3. Step 3: Cross multiply
   376,596x = 526,747.50 × 526,747.50
4. Step 4: Simplify right side
   376,596x = 277,462,928,756.25
5. Step 5: Solve for x
   x = 277,462,928,756.25/376,596
6. Step 6: Final answer
   x = 736,765.47