Finding the Third Proportional to 163,977 and 358,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,977 : 358,327.50 = 358,327.50 : x
2. Step 2: Convert to fraction form
   163,977/358,327.50 = 358,327.50/x
3. Step 3: Cross multiply
   163,977x = 358,327.50 × 358,327.50
4. Step 4: Simplify right side
   163,977x = 128,398,597,256.25
5. Step 5: Solve for x
   x = 128,398,597,256.25/163,977
6. Step 6: Final answer
   x = 783,028.09