Finding the Third Proportional to 409,091,688 and 614,109,936

Step by Step Solution

1. Step 1: Write the proportion equation
   409,091,688 : 614,109,936 = 614,109,936 : x
2. Step 2: Convert to fraction form
   409,091,688/614,109,936 = 614,109,936/x
3. Step 3: Cross multiply
   409,091,688x = 614,109,936 × 614,109,936
4. Step 4: Simplify right side
   409,091,688x = 377,131,013,493,924,096
5. Step 5: Solve for x
   x = 377,131,013,493,924,096/409,091,688
6. Step 6: Final answer
   x = 921,874,055.51