Finding the Third Proportional to 84,507 and 179,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,507 : 179,785.50 = 179,785.50 : x
2. Step 2: Convert to fraction form
   84,507/179,785.50 = 179,785.50/x
3. Step 3: Cross multiply
   84,507x = 179,785.50 × 179,785.50
4. Step 4: Simplify right side
   84,507x = 32,322,826,010.25
5. Step 5: Solve for x
   x = 32,322,826,010.25/84,507
6. Step 6: Final answer
   x = 382,486.97