Finding the Third Proportional to 177,877.50 and 385,278

Step by Step Solution

1. Step 1: Write the proportion equation
   177,877.50 : 385,278 = 385,278 : x
2. Step 2: Convert to fraction form
   177,877.50/385,278 = 385,278/x
3. Step 3: Cross multiply
   177,877.50x = 385,278 × 385,278
4. Step 4: Simplify right side
   177,877.50x = 148,439,137,284
5. Step 5: Solve for x
   x = 148,439,137,284/177,877.50
6. Step 6: Final answer
   x = 834,502.04