Finding the Third Proportional to 71,788 and 147,158

Step by Step Solution

1. Step 1: Write the proportion equation
   71,788 : 147,158 = 147,158 : x
2. Step 2: Convert to fraction form
   71,788/147,158 = 147,158/x
3. Step 3: Cross multiply
   71,788x = 147,158 × 147,158
4. Step 4: Simplify right side
   71,788x = 21,655,476,964
5. Step 5: Solve for x
   x = 21,655,476,964/71,788
6. Step 6: Final answer
   x = 301,658.73