Finding the Third Proportional to 148,834 and 208,184

Step by Step Solution

1. Step 1: Write the proportion equation
   148,834 : 208,184 = 208,184 : x
2. Step 2: Convert to fraction form
   148,834/208,184 = 208,184/x
3. Step 3: Cross multiply
   148,834x = 208,184 × 208,184
4. Step 4: Simplify right side
   148,834x = 43,340,577,856
5. Step 5: Solve for x
   x = 43,340,577,856/148,834
6. Step 6: Final answer
   x = 291,200.79