Finding the Third Proportional to 83,473 and 185,607

Step by Step Solution

1. Step 1: Write the proportion equation
   83,473 : 185,607 = 185,607 : x
2. Step 2: Convert to fraction form
   83,473/185,607 = 185,607/x
3. Step 3: Cross multiply
   83,473x = 185,607 × 185,607
4. Step 4: Simplify right side
   83,473x = 34,449,958,449
5. Step 5: Solve for x
   x = 34,449,958,449/83,473
6. Step 6: Final answer
   x = 412,707.80