Finding the Third Proportional to 377,085 and 527,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,085 : 527,467.50 = 527,467.50 : x
2. Step 2: Convert to fraction form
   377,085/527,467.50 = 527,467.50/x
3. Step 3: Cross multiply
   377,085x = 527,467.50 × 527,467.50
4. Step 4: Simplify right side
   377,085x = 278,221,963,556.25
5. Step 5: Solve for x
   x = 278,221,963,556.25/377,085
6. Step 6: Final answer
   x = 737,822.94