Finding the Third Proportional to 178,677 and 372,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,677 : 372,055.50 = 372,055.50 : x
2. Step 2: Convert to fraction form
   178,677/372,055.50 = 372,055.50/x
3. Step 3: Cross multiply
   178,677x = 372,055.50 × 372,055.50
4. Step 4: Simplify right side
   178,677x = 138,425,295,080.25
5. Step 5: Solve for x
   x = 138,425,295,080.25/178,677
6. Step 6: Final answer
   x = 774,723.64