Finding the Third Proportional to 149,926.50 and 322,085.25

Step by Step Solution

1. Step 1: Write the proportion equation
   149,926.50 : 322,085.25 = 322,085.25 : x
2. Step 2: Convert to fraction form
   149,926.50/322,085.25 = 322,085.25/x
3. Step 3: Cross multiply
   149,926.50x = 322,085.25 × 322,085.25
4. Step 4: Simplify right side
   149,926.50x = 103,738,908,267.56
5. Step 5: Solve for x
   x = 103,738,908,267.56/149,926.50
6. Step 6: Final answer
   x = 691,931.77