Finding the Third Proportional to 103,630 and 185,938

Step by Step Solution

1. Step 1: Write the proportion equation
   103,630 : 185,938 = 185,938 : x
2. Step 2: Convert to fraction form
   103,630/185,938 = 185,938/x
3. Step 3: Cross multiply
   103,630x = 185,938 × 185,938
4. Step 4: Simplify right side
   103,630x = 34,572,939,844
5. Step 5: Solve for x
   x = 34,572,939,844/103,630
6. Step 6: Final answer
   x = 333,619.03