Finding the Third Proportional to 148,947 and 208,354

Step by Step Solution

1. Step 1: Write the proportion equation
   148,947 : 208,354 = 208,354 : x
2. Step 2: Convert to fraction form
   148,947/208,354 = 208,354/x
3. Step 3: Cross multiply
   148,947x = 208,354 × 208,354
4. Step 4: Simplify right side
   148,947x = 43,411,389,316
5. Step 5: Solve for x
   x = 43,411,389,316/148,947
6. Step 6: Final answer
   x = 291,455.28