Finding the Third Proportional to 34,648 and 83,776

Step by Step Solution

1. Step 1: Write the proportion equation
   34,648 : 83,776 = 83,776 : x
2. Step 2: Convert to fraction form
   34,648/83,776 = 83,776/x
3. Step 3: Cross multiply
   34,648x = 83,776 × 83,776
4. Step 4: Simplify right side
   34,648x = 7,018,418,176
5. Step 5: Solve for x
   x = 7,018,418,176/34,648
6. Step 6: Final answer
   x = 202,563.44