Finding the Third Proportional to 174,843,314 and 381,329,184

Step by Step Solution

1. Step 1: Write the proportion equation
   174,843,314 : 381,329,184 = 381,329,184 : x
2. Step 2: Convert to fraction form
   174,843,314/381,329,184 = 381,329,184/x
3. Step 3: Cross multiply
   174,843,314x = 381,329,184 × 381,329,184
4. Step 4: Simplify right side
   174,843,314x = 145,411,946,570,105,856
5. Step 5: Solve for x
   x = 145,411,946,570,105,856/174,843,314
6. Step 6: Final answer
   x = 831,670,043.56