Finding the Third Proportional to 83,374 and 182,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,374 : 182,559.50 = 182,559.50 : x
2. Step 2: Convert to fraction form
   83,374/182,559.50 = 182,559.50/x
3. Step 3: Cross multiply
   83,374x = 182,559.50 × 182,559.50
4. Step 4: Simplify right side
   83,374x = 33,327,971,040.25
5. Step 5: Solve for x
   x = 33,327,971,040.25/83,374
6. Step 6: Final answer
   x = 399,740.58