Finding the Third Proportional to 117,630 and 257,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,630 : 257,374.50 = 257,374.50 : x
2. Step 2: Convert to fraction form
   117,630/257,374.50 = 257,374.50/x
3. Step 3: Cross multiply
   117,630x = 257,374.50 × 257,374.50
4. Step 4: Simplify right side
   117,630x = 66,241,633,250.25
5. Step 5: Solve for x
   x = 66,241,633,250.25/117,630
6. Step 6: Final answer
   x = 563,135.54