Finding the Third Proportional to 122,805 and 189,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,805 : 189,634.50 = 189,634.50 : x
2. Step 2: Convert to fraction form
   122,805/189,634.50 = 189,634.50/x
3. Step 3: Cross multiply
   122,805x = 189,634.50 × 189,634.50
4. Step 4: Simplify right side
   122,805x = 35,961,243,590.25
5. Step 5: Solve for x
   x = 35,961,243,590.25/122,805
6. Step 6: Final answer
   x = 292,832.08