Finding the Third Proportional to 67,820 and 147,316

Step by Step Solution

1. Step 1: Write the proportion equation
   67,820 : 147,316 = 147,316 : x
2. Step 2: Convert to fraction form
   67,820/147,316 = 147,316/x
3. Step 3: Cross multiply
   67,820x = 147,316 × 147,316
4. Step 4: Simplify right side
   67,820x = 21,702,003,856
5. Step 5: Solve for x
   x = 21,702,003,856/67,820
6. Step 6: Final answer
   x = 319,994.16