Finding the Third Proportional to 148,926 and 302,172

Step by Step Solution

1. Step 1: Write the proportion equation
   148,926 : 302,172 = 302,172 : x
2. Step 2: Convert to fraction form
   148,926/302,172 = 302,172/x
3. Step 3: Cross multiply
   148,926x = 302,172 × 302,172
4. Step 4: Simplify right side
   148,926x = 91,307,917,584
5. Step 5: Solve for x
   x = 91,307,917,584/148,926
6. Step 6: Final answer
   x = 613,109.31