Finding the Third Proportional to 90,776 and 208,364

Step by Step Solution

1. Step 1: Write the proportion equation
   90,776 : 208,364 = 208,364 : x
2. Step 2: Convert to fraction form
   90,776/208,364 = 208,364/x
3. Step 3: Cross multiply
   90,776x = 208,364 × 208,364
4. Step 4: Simplify right side
   90,776x = 43,415,556,496
5. Step 5: Solve for x
   x = 43,415,556,496/90,776
6. Step 6: Final answer
   x = 478,271.31