Finding the Third Proportional to 139,407 and 296,796

Step by Step Solution

1. Step 1: Write the proportion equation
   139,407 : 296,796 = 296,796 : x
2. Step 2: Convert to fraction form
   139,407/296,796 = 296,796/x
3. Step 3: Cross multiply
   139,407x = 296,796 × 296,796
4. Step 4: Simplify right side
   139,407x = 88,087,865,616
5. Step 5: Solve for x
   x = 88,087,865,616/139,407
6. Step 6: Final answer
   x = 631,875.48