Finding the Third Proportional to 90,010 and 208,381

Step by Step Solution

1. Step 1: Write the proportion equation
   90,010 : 208,381 = 208,381 : x
2. Step 2: Convert to fraction form
   90,010/208,381 = 208,381/x
3. Step 3: Cross multiply
   90,010x = 208,381 × 208,381
4. Step 4: Simplify right side
   90,010x = 43,422,641,161
5. Step 5: Solve for x
   x = 43,422,641,161/90,010
6. Step 6: Final answer
   x = 482,420.19