Finding the Third Proportional to 84,078 and 175,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,078 : 175,945.50 = 175,945.50 : x
2. Step 2: Convert to fraction form
   84,078/175,945.50 = 175,945.50/x
3. Step 3: Cross multiply
   84,078x = 175,945.50 × 175,945.50
4. Step 4: Simplify right side
   84,078x = 30,956,818,970.25
5. Step 5: Solve for x
   x = 30,956,818,970.25/84,078
6. Step 6: Final answer
   x = 368,191.67