Finding the Third Proportional to 165,114,264 and 385,569,648

Step by Step Solution

1. Step 1: Write the proportion equation
   165,114,264 : 385,569,648 = 385,569,648 : x
2. Step 2: Convert to fraction form
   165,114,264/385,569,648 = 385,569,648/x
3. Step 3: Cross multiply
   165,114,264x = 385,569,648 × 385,569,648
4. Step 4: Simplify right side
   165,114,264x = 148,663,953,458,843,904
5. Step 5: Solve for x
   x = 148,663,953,458,843,904/165,114,264
6. Step 6: Final answer
   x = 900,370,142.82