Finding the Third Proportional to 149,886 and 321,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,886 : 321,088.50 = 321,088.50 : x
2. Step 2: Convert to fraction form
   149,886/321,088.50 = 321,088.50/x
3. Step 3: Cross multiply
   149,886x = 321,088.50 × 321,088.50
4. Step 4: Simplify right side
   149,886x = 103,097,824,832.25
5. Step 5: Solve for x
   x = 103,097,824,832.25/149,886
6. Step 6: Final answer
   x = 687,841.59