Finding the Third Proportional to 117,801 and 182,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,801 : 182,605.50 = 182,605.50 : x
2. Step 2: Convert to fraction form
   117,801/182,605.50 = 182,605.50/x
3. Step 3: Cross multiply
   117,801x = 182,605.50 × 182,605.50
4. Step 4: Simplify right side
   117,801x = 33,344,768,630.25
5. Step 5: Solve for x
   x = 33,344,768,630.25/117,801
6. Step 6: Final answer
   x = 283,060.15