Finding the Third Proportional to 64,598 and 139,090

Step by Step Solution

1. Step 1: Write the proportion equation
   64,598 : 139,090 = 139,090 : x
2. Step 2: Convert to fraction form
   64,598/139,090 = 139,090/x
3. Step 3: Cross multiply
   64,598x = 139,090 × 139,090
4. Step 4: Simplify right side
   64,598x = 19,346,028,100
5. Step 5: Solve for x
   x = 19,346,028,100/64,598
6. Step 6: Final answer
   x = 299,483.39