Finding the Third Proportional to 113,730 and 176,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,730 : 176,590.50 = 176,590.50 : x
2. Step 2: Convert to fraction form
   113,730/176,590.50 = 176,590.50/x
3. Step 3: Cross multiply
   113,730x = 176,590.50 × 176,590.50
4. Step 4: Simplify right side
   113,730x = 31,184,204,690.25
5. Step 5: Solve for x
   x = 31,184,204,690.25/113,730
6. Step 6: Final answer
   x = 274,195.06